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Cohomology of the Bianchi GroupsBerkove, Ethan. January 1996 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1996. / Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 85-86).
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Quantization of Bianchi type cosmological models /Friedrichsen, James Edward, January 2000 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 2000. / Vita. Includes bibliographical references (leaves 138-150). Available also in a digital version from Dissertation Abstracts.
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First integrals for the Bianchi universes : supplementation of the Noetherian integrals with first integrals obtained by using Lie symmetries.Pantazi, Hara. January 1997 (has links)
No abstract available. / Thesis (M.Sc.)-University of Natal, 1997.
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Mode decomposition and Fourier analysis of physical fields in homogeneous cosmologyAvetisyan, Zhirayr 15 March 2013 (has links) (PDF)
In this work the methods of mode decomposition and Fourier analysis of quantum fields on curved spacetimes previously available mainly for the scalar fields on Friedman-Robertson-Walker spacetimes are extended to arbitrary vector fields on general spatially homogeneous spacetimes. This is done by developing a rigorous unified framework which incorporates mode decomposition, harmonic analysis and Fourier analysis. Explicit constructions are performed for a variety of situations arising in homogeneous cosmology. A number of results concerning classical and quantum fields known for very restricted situations are generalized to cover almost all cosmological models.
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Mode decomposition and Fourier analysis of physical fields in homogeneous cosmologyAvetisyan, Zhirayr 03 July 2013 (has links)
In this work the methods of mode decomposition and Fourier analysis of quantum fields on curved spacetimes previously available mainly for the scalar fields on Friedman-Robertson-Walker spacetimes are extended to arbitrary vector fields on general spatially homogeneous spacetimes. This is done by developing a rigorous unified framework which incorporates mode decomposition, harmonic analysis and Fourier analysis. Explicit constructions are performed for a variety of situations arising in homogeneous cosmology. A number of results concerning classical and quantum fields known for very restricted situations are generalized to cover almost all cosmological models.
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